Inequalities on the Plane

<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-inequalities-on-the-plane">Inequalities on the Plane Exercise</a></p><p>How do we illustrate <span style="color:#27ae60;">Inequalities on the Plane</span>? There are several rules to follow:</p> <p style="margin-left: 40px;"><strong>Rule 1</strong>: If you&#39;re simply using the greater than ($&gt;$) or less than ($&lt;$) signs, the line should be <u>dotted</u>.</p> <p style="margin-left: 40px;"><strong>Rule 2</strong>:&nbsp;If you&#39;re using the greater than or equal ($\geq$) or less than or equal ($\leq$) signs, the line should be <u>solid</u>.</p> <p><strong><span style="color:#8e44ad;">For Equations with both $x$ and $y$ present:</span></strong></p> <p style="margin-left: 40px;"><strong>Rule 3</strong>: If you see a $y&gt;mx+b$ or $y \geq mx + b$, shade ABOVE the line.</p> <p style="margin-left: 40px;"><strong>Rule 4</strong>: If you see a $y&lt;mx+b$ or $y \leq mx + b$, shade BELOW the line.</p> <p><strong><span style="color:#8e44ad;">For equations with only one variable present, either $x$ or $y$:</span></strong></p> <p style="margin-left: 40px;"><strong>Rule 5</strong>: If you have an equation with only one variable, say $x &lt; 5$, shade to the LEFT of the line. If you see $x &gt; 5$, shade to the RIGHT of the line.</p> <p style="margin-left: 40px;"><strong>Rule 6</strong>: If you have an equation with only one variable, say $y &lt; 5$, shade BELOW the line. If you see $y&gt;5$, shade ABOVE the line.</p>